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GATE General Aptitude Previous Year Question : Solution
This is a common star pentagon geometry question.
Given:
- The pentagram (star) is symmetric.
- All outer edges are equal: PR = PS = RT = SQ = QTPR = PS = RT = SQ = QTPR = PS = RT = SQ = QT.
- We need to find θ.
Step-by-Step Solution:
Understanding the Interior Angles of a Regular Star
- A regular pentagram is derived from a regular pentagon.
- The exterior angles of a regular pentagon are 72.
- The star is formed by extending these edges, making the internal angles of the star 180 - 72 = 108.
Finding θ
- The angles at the topmost vertex (like P in this case) of the pentagram are the interior angles of an isosceles triangle within the star.
- Each of the five triangles at the tips of the star has an internal apex angle θ, with two base angles of 72.
- Using the sum of angles in a triangle: θ + 72 + 72 = 180, on solving this the value of θ turns out to be 36.
Answer: 36∘(Option D)
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FAQs on GATE General Aptitude Previous Year Question : Solution
| 1. What are the key topics covered in the GATE General Aptitude section? |  |
Ans. The GATE General Aptitude section primarily covers topics such as numerical ability, logical reasoning, and verbal ability. This includes questions on quantitative comparisons, data interpretation, syllogisms, analogies, and basic English grammar and comprehension.
| 2. How is the General Aptitude section weighted in the GATE exam? | |
Ans. The General Aptitude section typically carries a weight of 15% of the total marks in the GATE exam. This section is designed to assess the candidate's overall aptitude and reasoning abilities, which are crucial for engineering and technical fields.
| 3. What type of questions can I expect in the GATE General Aptitude section? | |
Ans. In the GATE General Aptitude section, you can expect a mix of multiple-choice questions (MCQs) and numerical answer type questions (NATs). These may include problems that require mathematical calculations, logical deductions, and comprehension of English passages.
| 4. How should I prepare for the General Aptitude section of the GATE exam? | |
Ans. To prepare for the General Aptitude section, candidates should practice previous years' question papers, take mock tests, and focus on improving their problem-solving speed and accuracy. Additionally, reviewing basic concepts in mathematics, logic, and English will be beneficial.
| 5. Are there any recommended study materials for the GATE General Aptitude section? | |
Ans. Yes, several study materials are recommended for the GATE General Aptitude section. These include textbooks on quantitative aptitude, logical reasoning, and English language skills, as well as online resources and practice question banks specifically designed for GATE preparation.
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